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Proof step 81 from proof addarray-disjoint-nosharing-01 (previous step)

vals[m] = refval(r3), vals[i→n(i)] = refval(r1), vals[i→n(i0)] = refval(r2), st[r2 -- sks] = refval(r0), st[r1 -- sks1] = refval(r0), m < # vals, r2 -- sks ∈ st, st ⊆ addarray(r, ty, vals, st), is_referencevalue(addarray(r, ty, vals, st)[r -- (i0 ' ' + sks)]), 0 ≤ i0, fits(r2, sks, st), fits(r1, sks1, st), 0 ≤ i, i0 < n→i(# vals), disjoint(str, vals .nonnullrefs, st), newref(r, st), i < n→i(# vals), is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]), r1 -- sks1 ∈ st ⊦ r3 = jvmref, r1 = r2, i = i0, i0 ' ' + sks = i ' ' + sks1, r = jvmref, vals = [], r0 = jvmref, refval(r3) ∈ vals, validref(str, r3, ty, st), junkref(str, r1, st), dups(vals .nonnullrefs), hasSharing(vals .nonnullrefs, st), junkref(str, r2, st), validreflist(str, mkjavavalues(vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st)

User applied rule insert equation

And closed the goal!

Rule argument

[inserteqarg: pos: left 1,T,T,()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list-del, javavalues, get-in, ⊦ m < # vals → (¬ vals[m] ∈ vals ↔ false)])]]